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Finding the Fourth Proportional to 344.30, 516.33 and 138.96

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Solution

The fourth proportional to 344.30, 516.33 and 138.96 is: 208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 516.33 = 138.96 : x
  2. Step 2: Convert to fraction form
    344.30/516.33 = 138.96/x
  3. Step 3: Cross multiply
    344.30x = 516.33 × 138.96
  4. Step 4: Simplify right side
    344.30x = 71,749.22
  5. Step 5: Solve for x
    x = 71,749.22/344.30
  6. Step 6: Final answer
    x = 208.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.